The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}}\] their densities are respectively\[{{\rho }_{1}} and {{\rho }_{2}}\]. The ratio of the accelerations due to gravity at their surfaces is

\[{{g}_{1}}:{{g}_{2}}=\frac{{{\rho }_{1}}}{{{R}_{1}}^{2}}:\frac{{{\rho }_{2}}}{{{R}_{2}}^{2}}\]

\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{\rho }_{1}}{{\rho }_{2}}\]

\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{R}_{2}}{{\rho }_{1}}\]

\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{1}}:{{R}_{2}}{{\rho }_{2}}\]

The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}

1.	The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}}\] their densities are respectively\[{{\rho }_{1}} and {{\rho }_{2}}\]. The ratio of the accelerations due to gravity at their surfaces is
A.	\[{{g}_{1}}:{{g}_{2}}=\frac{{{\rho }_{1}}}{{{R}_{1}}^{2}}:\frac{{{\rho }_{2}}}{{{R}_{2}}^{2}}\]
B.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{\rho }_{1}}{{\rho }_{2}}\]
C.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{R}_{2}}{{\rho }_{1}}\]
D.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{1}}:{{R}_{2}}{{\rho }_{2}}\]
Answer» E.